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catch the honey gourami, keep him in the net for a few hours or ideally in a separate tank altogether. this is a natural response to what the gourami feels as an intrusion to its territory. removing the gourami for a while will let the tetras establish themselves and the gourami to not feel so territorial.
even a fully grown honey gourami's mouth is tiny, and they aren't very competent predators so I doubt the predator theory.

Well, when you put bite size neon's in a tank with a gourami, this will be the end result. Neons should be with a bunch of other tiny fish. I'd take the gourami back tomorrow and keep the neons. Even if the neons do not get eaten, they will stay in hiding forever from that gourami.

If you can't remove the gourami, then at least turn the lights off and make sure the tank is dark

That would give your neons the best chance they have to make it until you can rehome either the gourami or the neons tomorrow.

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I really would give your honey gourami a chance. I am not sure what every one else imagines under honey gourami, but seriously, its a 1.5 inch long fish with a proportionally miniscule mouth(and I have one, thats how I know). they are one of the most peaceful gouramis you can have. take the gourami out of the tank for a while, let the neons settle and see from then. in my personal experience that should be more than enough to get the honey gourami to coexist with the neons. I highly doubt that its predatory in nature from my experience with honey gouramis. my honey gourami ignores newborn guppy fry swimming inches from his face. they just aren't born predators.